Home / 1,728.33-2,384.67-971.94

Finding the Fourth Proportional to 1,728.33, 2,384.67 and 971.94

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Solution

The fourth proportional to 1,728.33, 2,384.67 and 971.94 is: 1,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.33 : 2,384.67 = 971.94 : x
  2. Step 2: Convert to fraction form
    1,728.33/2,384.67 = 971.94/x
  3. Step 3: Cross multiply
    1,728.33x = 2,384.67 × 971.94
  4. Step 4: Simplify right side
    1,728.33x = 2,317,756.16
  5. Step 5: Solve for x
    x = 2,317,756.16/1,728.33
  6. Step 6: Final answer
    x = 1,341.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.